# How to integrate a function within a square root

#### seanm924

1. The problem statement, all variables and given/known data
Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5

2. Relevant equations

L = integral sqrt(1+(dx/dy)^2)dx

3. The attempt at a solution

I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Related Calculus and Beyond Homework News on Phys.org

#### Mentallic

Homework Helper
Factor out $$\frac{1}{100y^4}$$ inside the root and see if you can go from there.

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